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Finding the Fourth Proportional to 6,951.46, 10,417.44 and 4,994.50

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Solution

The fourth proportional to 6,951.46, 10,417.44 and 4,994.50 is: 7,484.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951.46 : 10,417.44 = 4,994.50 : x
  2. Step 2: Convert to fraction form
    6,951.46/10,417.44 = 4,994.50/x
  3. Step 3: Cross multiply
    6,951.46x = 10,417.44 × 4,994.50
  4. Step 4: Simplify right side
    6,951.46x = 52,029,904.08
  5. Step 5: Solve for x
    x = 52,029,904.08/6,951.46
  6. Step 6: Final answer
    x = 7,484.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.